Similarly, expanding terms and applying the annihilation and creation operators on the coherent state basis (REF ) and (REF ), this reproduces a differential equation of the SGF [1]},
\(\begin{split}&\left( \sum _{A,B=0,1}\left(\frac{\partial }{\partial \tilde{z}_1^A}\otimes z_6^A \right)\left( \frac{\partial }{\partial z_1^B}\otimes z_2^B \right)\right)\left(2+2 \sum _{l\in n_{246}}\sum _A z^A \frac{\partial }{\partial z^A} \right)-\left[\frac{\partial }{\partial \tilde{z}_6}\vert \frac{\partial }{\partial \tilde{z}_2}\right>\left( 1+\sum _A z_1^A \frac{\partial }{\partial z_1^A} \right)\\&+[\tilde{z}_1|z_6\rangle [z_1|z_2\rangle \left( 2+2 \sum _{l\in n_{246}}\sum _A z^A \frac{\partial }{\partial z^A} \right)\left( 2+2 \sum _{l\in n_{123}}\sum _A z^A \frac{\partial }{\partial z^A} \right)\left( 2+2 \sum _{l\in n_{156}}\sum _A z^A \frac{\partial }{\partial z^A} \right){\mathcal {S}}^{\text{sl}}(\lbrace z_l,\tilde{z}_l\rbrace )=0\,,\end{split}\) 
